466816 has 32 divisors (see below), whose sum is σ = 1064880. Its totient is φ = 199680.

The previous prime is 466801. The next prime is 466819. The reversal of 466816 is 618664.

466816 = T₁₃ + T₁₄ + ... + T₁₄₀.

It is a tau number, because it is divible by the number of its divisors (32).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (466819) by changing a digit.

466816 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 636 + ... + 1156.

2⁴⁶⁶⁸¹⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 466816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532440).

466816 is an abundant number, since it is smaller than the sum of its proper divisors (598064).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

466816 is an equidigital number, since it uses as much as digits as its factorization.

466816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 530 counting only the distinct ones).

The product of its digits is 6912, while the sum is 31.

The square root of 466816 is about 683.2393431295. The cubic root of 466816 is about 77.5738318256.

The spelling of 466816 in words is "four hundred sixty-six thousand, eight hundred sixteen".